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Finding the Third Proportional to 161,424 and 344,808

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Solution

The third proportional to 161,424 and 344,808 is: 736,523.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,424 : 344,808 = 344,808 : x
  2. Step 2: Convert to fraction form
    161,424/344,808 = 344,808/x
  3. Step 3: Cross multiply
    161,424x = 344,808 × 344,808
  4. Step 4: Simplify right side
    161,424x = 118,892,556,864
  5. Step 5: Solve for x
    x = 118,892,556,864/161,424
  6. Step 6: Final answer
    x = 736,523.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.